a(n) = (Product_{k=1..pi(n+1)} prime(k)^floor(n/(prime(k)-1) ) )/(n+1)!.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =6a(5) =2a(6) =12a(7) =3a(8) =10a(9) =2a(10) =12a(11) =2a(12) =420a(13) =60a(14) =24a(15) =3a(16) =90a(17) =10a(18) =420a(19) =42a(20) =660a(21) =60a(22) =360a(23) =30a(24) =3276a(25) =252a(26) =56a(27) =4a(28) =120a(29) =8